Finding the Third Proportional to 8,144 and 12,788

Step by Step Solution

1. Step 1: Write the proportion equation
   8,144 : 12,788 = 12,788 : x
2. Step 2: Convert to fraction form
   8,144/12,788 = 12,788/x
3. Step 3: Cross multiply
   8,144x = 12,788 × 12,788
4. Step 4: Simplify right side
   8,144x = 163,532,944
5. Step 5: Solve for x
   x = 163,532,944/8,144
6. Step 6: Final answer
   x = 20,080.17